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Finding the Fourth Proportional to 2,738.10, 3,773.33 and 1,950.78

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Solution

The fourth proportional to 2,738.10, 3,773.33 and 1,950.78 is: 2,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.10 : 3,773.33 = 1,950.78 : x
  2. Step 2: Convert to fraction form
    2,738.10/3,773.33 = 1,950.78/x
  3. Step 3: Cross multiply
    2,738.10x = 3,773.33 × 1,950.78
  4. Step 4: Simplify right side
    2,738.10x = 7,360,959.38
  5. Step 5: Solve for x
    x = 7,360,959.38/2,738.10
  6. Step 6: Final answer
    x = 2,688.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.